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Finding the Third Proportional to 81,747 and 115,681.50

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Solution

The third proportional to 81,747 and 115,681.50 is: 163,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,747 : 115,681.50 = 115,681.50 : x
  2. Step 2: Convert to fraction form
    81,747/115,681.50 = 115,681.50/x
  3. Step 3: Cross multiply
    81,747x = 115,681.50 × 115,681.50
  4. Step 4: Simplify right side
    81,747x = 13,382,209,442.25
  5. Step 5: Solve for x
    x = 13,382,209,442.25/81,747
  6. Step 6: Final answer
    x = 163,702.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.