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Finding the Third Proportional to 53,132.63 and 82,927.13

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Solution

The third proportional to 53,132.63 and 82,927.13 is: 129,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,132.63 : 82,927.13 = 82,927.13 : x
  2. Step 2: Convert to fraction form
    53,132.63/82,927.13 = 82,927.13/x
  3. Step 3: Cross multiply
    53,132.63x = 82,927.13 × 82,927.13
  4. Step 4: Simplify right side
    53,132.63x = 6,876,908,060.77
  5. Step 5: Solve for x
    x = 6,876,908,060.77/53,132.63
  6. Step 6: Final answer
    x = 129,429.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.