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Finding the Third Proportional to 61,442 and 93,379

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Solution

The third proportional to 61,442 and 93,379 is: 141,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442 : 93,379 = 93,379 : x
  2. Step 2: Convert to fraction form
    61,442/93,379 = 93,379/x
  3. Step 3: Cross multiply
    61,442x = 93,379 × 93,379
  4. Step 4: Simplify right side
    61,442x = 8,719,637,641
  5. Step 5: Solve for x
    x = 8,719,637,641/61,442
  6. Step 6: Final answer
    x = 141,916.57

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Why These Related Problems?

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