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Finding the Third Proportional to 96,924 and 130,920

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Solution

The third proportional to 96,924 and 130,920 is: 176,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,924 : 130,920 = 130,920 : x
  2. Step 2: Convert to fraction form
    96,924/130,920 = 130,920/x
  3. Step 3: Cross multiply
    96,924x = 130,920 × 130,920
  4. Step 4: Simplify right side
    96,924x = 17,140,046,400
  5. Step 5: Solve for x
    x = 17,140,046,400/96,924
  6. Step 6: Final answer
    x = 176,840.06

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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.