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Finding the Third Proportional to 61,102.50 and 130,269

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Solution

The third proportional to 61,102.50 and 130,269 is: 277,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.50 : 130,269 = 130,269 : x
  2. Step 2: Convert to fraction form
    61,102.50/130,269 = 130,269/x
  3. Step 3: Cross multiply
    61,102.50x = 130,269 × 130,269
  4. Step 4: Simplify right side
    61,102.50x = 16,970,012,361
  5. Step 5: Solve for x
    x = 16,970,012,361/61,102.50
  6. Step 6: Final answer
    x = 277,730.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.