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Finding the Third Proportional to 61,105.50 and 130,531.50

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Solution

The third proportional to 61,105.50 and 130,531.50 is: 278,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,105.50 : 130,531.50 = 130,531.50 : x
  2. Step 2: Convert to fraction form
    61,105.50/130,531.50 = 130,531.50/x
  3. Step 3: Cross multiply
    61,105.50x = 130,531.50 × 130,531.50
  4. Step 4: Simplify right side
    61,105.50x = 17,038,472,492.25
  5. Step 5: Solve for x
    x = 17,038,472,492.25/61,105.50
  6. Step 6: Final answer
    x = 278,836.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.