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Finding the Third Proportional to 61,332 and 93,090

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Solution

The third proportional to 61,332 and 93,090 is: 141,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,332 : 93,090 = 93,090 : x
  2. Step 2: Convert to fraction form
    61,332/93,090 = 93,090/x
  3. Step 3: Cross multiply
    61,332x = 93,090 × 93,090
  4. Step 4: Simplify right side
    61,332x = 8,665,748,100
  5. Step 5: Solve for x
    x = 8,665,748,100/61,332
  6. Step 6: Final answer
    x = 141,292.44

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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.