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Finding the Third Proportional to 61,561 and 95,509.50

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Solution

The third proportional to 61,561 and 95,509.50 is: 148,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,561 : 95,509.50 = 95,509.50 : x
  2. Step 2: Convert to fraction form
    61,561/95,509.50 = 95,509.50/x
  3. Step 3: Cross multiply
    61,561x = 95,509.50 × 95,509.50
  4. Step 4: Simplify right side
    61,561x = 9,122,064,590.25
  5. Step 5: Solve for x
    x = 9,122,064,590.25/61,561
  6. Step 6: Final answer
    x = 148,179.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.