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Finding the Third Proportional to 61,751 and 93,959

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Solution

The third proportional to 61,751 and 93,959 is: 142,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,751 : 93,959 = 93,959 : x
  2. Step 2: Convert to fraction form
    61,751/93,959 = 93,959/x
  3. Step 3: Cross multiply
    61,751x = 93,959 × 93,959
  4. Step 4: Simplify right side
    61,751x = 8,828,293,681
  5. Step 5: Solve for x
    x = 8,828,293,681/61,751
  6. Step 6: Final answer
    x = 142,966.00

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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.