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Finding the Third Proportional to 73,065 and 114,211.13

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Solution

The third proportional to 73,065 and 114,211.13 is: 178,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065 : 114,211.13 = 114,211.13 : x
  2. Step 2: Convert to fraction form
    73,065/114,211.13 = 114,211.13/x
  3. Step 3: Cross multiply
    73,065x = 114,211.13 × 114,211.13
  4. Step 4: Simplify right side
    73,065x = 13,044,181,073.77
  5. Step 5: Solve for x
    x = 13,044,181,073.77/73,065
  6. Step 6: Final answer
    x = 178,528.45

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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.