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Finding the Third Proportional to 61,442 and 93,804

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Solution

The third proportional to 61,442 and 93,804 is: 143,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442 : 93,804 = 93,804 : x
  2. Step 2: Convert to fraction form
    61,442/93,804 = 93,804/x
  3. Step 3: Cross multiply
    61,442x = 93,804 × 93,804
  4. Step 4: Simplify right side
    61,442x = 8,799,190,416
  5. Step 5: Solve for x
    x = 8,799,190,416/61,442
  6. Step 6: Final answer
    x = 143,211.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.