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Finding the Third Proportional to 61,743 and 93,946.50

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Solution

The third proportional to 61,743 and 93,946.50 is: 142,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743 : 93,946.50 = 93,946.50 : x
  2. Step 2: Convert to fraction form
    61,743/93,946.50 = 93,946.50/x
  3. Step 3: Cross multiply
    61,743x = 93,946.50 × 93,946.50
  4. Step 4: Simplify right side
    61,743x = 8,825,944,862.25
  5. Step 5: Solve for x
    x = 8,825,944,862.25/61,743
  6. Step 6: Final answer
    x = 142,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.