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Finding the Third Proportional to 102,556.13 and 157,426.88

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Solution

The third proportional to 102,556.13 and 157,426.88 is: 241,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,556.13 : 157,426.88 = 157,426.88 : x
  2. Step 2: Convert to fraction form
    102,556.13/157,426.88 = 157,426.88/x
  3. Step 3: Cross multiply
    102,556.13x = 157,426.88 × 157,426.88
  4. Step 4: Simplify right side
    102,556.13x = 24,783,220,972.27
  5. Step 5: Solve for x
    x = 24,783,220,972.27/102,556.13
  6. Step 6: Final answer
    x = 241,655.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.