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Finding the Third Proportional to 73,882.13 and 117,008.06

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Solution

The third proportional to 73,882.13 and 117,008.06 is: 185,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.13 : 117,008.06 = 117,008.06 : x
  2. Step 2: Convert to fraction form
    73,882.13/117,008.06 = 117,008.06/x
  3. Step 3: Cross multiply
    73,882.13x = 117,008.06 × 117,008.06
  4. Step 4: Simplify right side
    73,882.13x = 13,690,886,690.00
  5. Step 5: Solve for x
    x = 13,690,886,690.00/73,882.13
  6. Step 6: Final answer
    x = 185,307.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.