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Finding the Third Proportional to 126,030 and 272,746

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Solution

The third proportional to 126,030 and 272,746 is: 590,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,030 : 272,746 = 272,746 : x
  2. Step 2: Convert to fraction form
    126,030/272,746 = 272,746/x
  3. Step 3: Cross multiply
    126,030x = 272,746 × 272,746
  4. Step 4: Simplify right side
    126,030x = 74,390,380,516
  5. Step 5: Solve for x
    x = 74,390,380,516/126,030
  6. Step 6: Final answer
    x = 590,259.31

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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.