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Finding the Third Proportional to 130,434 and 174,711

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Solution

The third proportional to 130,434 and 174,711 is: 234,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,434 : 174,711 = 174,711 : x
  2. Step 2: Convert to fraction form
    130,434/174,711 = 174,711/x
  3. Step 3: Cross multiply
    130,434x = 174,711 × 174,711
  4. Step 4: Simplify right side
    130,434x = 30,523,933,521
  5. Step 5: Solve for x
    x = 30,523,933,521/130,434
  6. Step 6: Final answer
    x = 234,018.23

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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.