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Finding the Third Proportional to 62,358 and 93,291

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Solution

The third proportional to 62,358 and 93,291 is: 139,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,358 : 93,291 = 93,291 : x
  2. Step 2: Convert to fraction form
    62,358/93,291 = 93,291/x
  3. Step 3: Cross multiply
    62,358x = 93,291 × 93,291
  4. Step 4: Simplify right side
    62,358x = 8,703,210,681
  5. Step 5: Solve for x
    x = 8,703,210,681/62,358
  6. Step 6: Final answer
    x = 139,568.47

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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.