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Finding the Third Proportional to 130,427 and 174,701.50

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Solution

The third proportional to 130,427 and 174,701.50 is: 234,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,427 : 174,701.50 = 174,701.50 : x
  2. Step 2: Convert to fraction form
    130,427/174,701.50 = 174,701.50/x
  3. Step 3: Cross multiply
    130,427x = 174,701.50 × 174,701.50
  4. Step 4: Simplify right side
    130,427x = 30,520,614,102.25
  5. Step 5: Solve for x
    x = 30,520,614,102.25/130,427
  6. Step 6: Final answer
    x = 234,005.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.