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Finding the Third Proportional to 58,111.17 and 127,275.05

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Solution

The third proportional to 58,111.17 and 127,275.05 is: 278,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,111.17 : 127,275.05 = 127,275.05 : x
  2. Step 2: Convert to fraction form
    58,111.17/127,275.05 = 127,275.05/x
  3. Step 3: Cross multiply
    58,111.17x = 127,275.05 × 127,275.05
  4. Step 4: Simplify right side
    58,111.17x = 16,198,937,557.03
  5. Step 5: Solve for x
    x = 16,198,937,557.03/58,111.17
  6. Step 6: Final answer
    x = 278,757.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.