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Finding the Third Proportional to 130,428 and 174,703

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Solution

The third proportional to 130,428 and 174,703 is: 234,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428 : 174,703 = 174,703 : x
  2. Step 2: Convert to fraction form
    130,428/174,703 = 174,703/x
  3. Step 3: Cross multiply
    130,428x = 174,703 × 174,703
  4. Step 4: Simplify right side
    130,428x = 30,521,138,209
  5. Step 5: Solve for x
    x = 30,521,138,209/130,428
  6. Step 6: Final answer
    x = 234,007.56

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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.