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Finding the Third Proportional to 67,716 and 101,577.38

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Solution

The third proportional to 67,716 and 101,577.38 is: 152,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,716 : 101,577.38 = 101,577.38 : x
  2. Step 2: Convert to fraction form
    67,716/101,577.38 = 101,577.38/x
  3. Step 3: Cross multiply
    67,716x = 101,577.38 × 101,577.38
  4. Step 4: Simplify right side
    67,716x = 10,317,963,111.89
  5. Step 5: Solve for x
    x = 10,317,963,111.89/67,716
  6. Step 6: Final answer
    x = 152,371.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.