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Finding the Third Proportional to 54,342 and 84,973.50

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Solution

The third proportional to 54,342 and 84,973.50 is: 132,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342 : 84,973.50 = 84,973.50 : x
  2. Step 2: Convert to fraction form
    54,342/84,973.50 = 84,973.50/x
  3. Step 3: Cross multiply
    54,342x = 84,973.50 × 84,973.50
  4. Step 4: Simplify right side
    54,342x = 7,220,495,702.25
  5. Step 5: Solve for x
    x = 7,220,495,702.25/54,342
  6. Step 6: Final answer
    x = 132,871.36

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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.