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Finding the Third Proportional to 61,520 and 87,973.50

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Solution

The third proportional to 61,520 and 87,973.50 is: 125,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520 : 87,973.50 = 87,973.50 : x
  2. Step 2: Convert to fraction form
    61,520/87,973.50 = 87,973.50/x
  3. Step 3: Cross multiply
    61,520x = 87,973.50 × 87,973.50
  4. Step 4: Simplify right side
    61,520x = 7,739,336,702.25
  5. Step 5: Solve for x
    x = 7,739,336,702.25/61,520
  6. Step 6: Final answer
    x = 125,801.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.