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Finding the Third Proportional to 60,548.29 and 130,784.31

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Solution

The third proportional to 60,548.29 and 130,784.31 is: 282,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,548.29 : 130,784.31 = 130,784.31 : x
  2. Step 2: Convert to fraction form
    60,548.29/130,784.31 = 130,784.31/x
  3. Step 3: Cross multiply
    60,548.29x = 130,784.31 × 130,784.31
  4. Step 4: Simplify right side
    60,548.29x = 17,104,535,374.35
  5. Step 5: Solve for x
    x = 17,104,535,374.35/60,548.29
  6. Step 6: Final answer
    x = 282,494.11

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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.