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Finding the Third Proportional to 58,742 and 89,487

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Solution

The third proportional to 58,742 and 89,487 is: 136,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742 : 89,487 = 89,487 : x
  2. Step 2: Convert to fraction form
    58,742/89,487 = 89,487/x
  3. Step 3: Cross multiply
    58,742x = 89,487 × 89,487
  4. Step 4: Simplify right side
    58,742x = 8,007,923,169
  5. Step 5: Solve for x
    x = 8,007,923,169/58,742
  6. Step 6: Final answer
    x = 136,323.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.