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Finding the Third Proportional to 61,101.75 and 130,746

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Solution

The third proportional to 61,101.75 and 130,746 is: 279,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101.75 : 130,746 = 130,746 : x
  2. Step 2: Convert to fraction form
    61,101.75/130,746 = 130,746/x
  3. Step 3: Cross multiply
    61,101.75x = 130,746 × 130,746
  4. Step 4: Simplify right side
    61,101.75x = 17,094,516,516
  5. Step 5: Solve for x
    x = 17,094,516,516/61,101.75
  6. Step 6: Final answer
    x = 279,771.31

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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.