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Finding the Third Proportional to 102,810.75 and 157,132.50

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Solution

The third proportional to 102,810.75 and 157,132.50 is: 240,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,810.75 : 157,132.50 = 157,132.50 : x
  2. Step 2: Convert to fraction form
    102,810.75/157,132.50 = 157,132.50/x
  3. Step 3: Cross multiply
    102,810.75x = 157,132.50 × 157,132.50
  4. Step 4: Simplify right side
    102,810.75x = 24,690,622,556.25
  5. Step 5: Solve for x
    x = 24,690,622,556.25/102,810.75
  6. Step 6: Final answer
    x = 240,156.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.