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Finding the Third Proportional to 35,915.71 and 78,126.52

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Solution

The third proportional to 35,915.71 and 78,126.52 is: 169,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,915.71 : 78,126.52 = 78,126.52 : x
  2. Step 2: Convert to fraction form
    35,915.71/78,126.52 = 78,126.52/x
  3. Step 3: Cross multiply
    35,915.71x = 78,126.52 × 78,126.52
  4. Step 4: Simplify right side
    35,915.71x = 6,103,752,672.59
  5. Step 5: Solve for x
    x = 6,103,752,672.59/35,915.71
  6. Step 6: Final answer
    x = 169,946.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.