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Finding the Third Proportional to 53,146.13 and 82,275.75

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Solution

The third proportional to 53,146.13 and 82,275.75 is: 127,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146.13 : 82,275.75 = 82,275.75 : x
  2. Step 2: Convert to fraction form
    53,146.13/82,275.75 = 82,275.75/x
  3. Step 3: Cross multiply
    53,146.13x = 82,275.75 × 82,275.75
  4. Step 4: Simplify right side
    53,146.13x = 6,769,299,038.06
  5. Step 5: Solve for x
    x = 6,769,299,038.06/53,146.13
  6. Step 6: Final answer
    x = 127,371.45

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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.