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Finding the Third Proportional to 60,461.25 and 130,772.25

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Solution

The third proportional to 60,461.25 and 130,772.25 is: 282,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,461.25 : 130,772.25 = 130,772.25 : x
  2. Step 2: Convert to fraction form
    60,461.25/130,772.25 = 130,772.25/x
  3. Step 3: Cross multiply
    60,461.25x = 130,772.25 × 130,772.25
  4. Step 4: Simplify right side
    60,461.25x = 17,101,381,370.06
  5. Step 5: Solve for x
    x = 17,101,381,370.06/60,461.25
  6. Step 6: Final answer
    x = 282,848.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.