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Finding the Third Proportional to 61,719 and 93,444

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Solution

The third proportional to 61,719 and 93,444 is: 141,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,719 : 93,444 = 93,444 : x
  2. Step 2: Convert to fraction form
    61,719/93,444 = 93,444/x
  3. Step 3: Cross multiply
    61,719x = 93,444 × 93,444
  4. Step 4: Simplify right side
    61,719x = 8,731,781,136
  5. Step 5: Solve for x
    x = 8,731,781,136/61,719
  6. Step 6: Final answer
    x = 141,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.