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Finding the Third Proportional to 77,481 and 169,701.75

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Solution

The third proportional to 77,481 and 169,701.75 is: 371,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,481 : 169,701.75 = 169,701.75 : x
  2. Step 2: Convert to fraction form
    77,481/169,701.75 = 169,701.75/x
  3. Step 3: Cross multiply
    77,481x = 169,701.75 × 169,701.75
  4. Step 4: Simplify right side
    77,481x = 28,798,683,953.06
  5. Step 5: Solve for x
    x = 28,798,683,953.06/77,481
  6. Step 6: Final answer
    x = 371,687.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.