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Finding the Third Proportional to 60,169 and 93,543

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Solution

The third proportional to 60,169 and 93,543 is: 145,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,169 : 93,543 = 93,543 : x
  2. Step 2: Convert to fraction form
    60,169/93,543 = 93,543/x
  3. Step 3: Cross multiply
    60,169x = 93,543 × 93,543
  4. Step 4: Simplify right side
    60,169x = 8,750,292,849
  5. Step 5: Solve for x
    x = 8,750,292,849/60,169
  6. Step 6: Final answer
    x = 145,428.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.