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Finding the Third Proportional to 61,209.75 and 131,752.50

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Solution

The third proportional to 61,209.75 and 131,752.50 is: 283,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,209.75 : 131,752.50 = 131,752.50 : x
  2. Step 2: Convert to fraction form
    61,209.75/131,752.50 = 131,752.50/x
  3. Step 3: Cross multiply
    61,209.75x = 131,752.50 × 131,752.50
  4. Step 4: Simplify right side
    61,209.75x = 17,358,721,256.25
  5. Step 5: Solve for x
    x = 17,358,721,256.25/61,209.75
  6. Step 6: Final answer
    x = 283,594.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.