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Finding the Third Proportional to 63,543 and 95,005.50

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Solution

The third proportional to 63,543 and 95,005.50 is: 142,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,543 : 95,005.50 = 95,005.50 : x
  2. Step 2: Convert to fraction form
    63,543/95,005.50 = 95,005.50/x
  3. Step 3: Cross multiply
    63,543x = 95,005.50 × 95,005.50
  4. Step 4: Simplify right side
    63,543x = 9,026,045,030.25
  5. Step 5: Solve for x
    x = 9,026,045,030.25/63,543
  6. Step 6: Final answer
    x = 142,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.