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Finding the Third Proportional to 62,888 and 135,572

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Solution

The third proportional to 62,888 and 135,572 is: 292,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,888 : 135,572 = 135,572 : x
  2. Step 2: Convert to fraction form
    62,888/135,572 = 135,572/x
  3. Step 3: Cross multiply
    62,888x = 135,572 × 135,572
  4. Step 4: Simplify right side
    62,888x = 18,379,767,184
  5. Step 5: Solve for x
    x = 18,379,767,184/62,888
  6. Step 6: Final answer
    x = 292,261.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.