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Finding the Third Proportional to 102,549.38 and 157,415.06

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Solution

The third proportional to 102,549.38 and 157,415.06 is: 241,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,549.38 : 157,415.06 = 157,415.06 : x
  2. Step 2: Convert to fraction form
    102,549.38/157,415.06 = 157,415.06/x
  3. Step 3: Cross multiply
    102,549.38x = 157,415.06 × 157,415.06
  4. Step 4: Simplify right side
    102,549.38x = 24,779,501,901.88
  5. Step 5: Solve for x
    x = 24,779,501,901.88/102,549.38
  6. Step 6: Final answer
    x = 241,634.84

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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.