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Finding the Third Proportional to 65,801.50 and 93,781

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Solution

The third proportional to 65,801.50 and 93,781 is: 133,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.50 : 93,781 = 93,781 : x
  2. Step 2: Convert to fraction form
    65,801.50/93,781 = 93,781/x
  3. Step 3: Cross multiply
    65,801.50x = 93,781 × 93,781
  4. Step 4: Simplify right side
    65,801.50x = 8,794,875,961
  5. Step 5: Solve for x
    x = 8,794,875,961/65,801.50
  6. Step 6: Final answer
    x = 133,657.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.