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Finding the Third Proportional to 58,971.38 and 127,332

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Solution

The third proportional to 58,971.38 and 127,332 is: 274,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971.38 : 127,332 = 127,332 : x
  2. Step 2: Convert to fraction form
    58,971.38/127,332 = 127,332/x
  3. Step 3: Cross multiply
    58,971.38x = 127,332 × 127,332
  4. Step 4: Simplify right side
    58,971.38x = 16,213,438,224
  5. Step 5: Solve for x
    x = 16,213,438,224/58,971.38
  6. Step 6: Final answer
    x = 274,937.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.