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Finding the Third Proportional to 96,940 and 130,944

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Solution

The third proportional to 96,940 and 130,944 is: 176,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940 : 130,944 = 130,944 : x
  2. Step 2: Convert to fraction form
    96,940/130,944 = 130,944/x
  3. Step 3: Cross multiply
    96,940x = 130,944 × 130,944
  4. Step 4: Simplify right side
    96,940x = 17,146,331,136
  5. Step 5: Solve for x
    x = 17,146,331,136/96,940
  6. Step 6: Final answer
    x = 176,875.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.