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Finding the Third Proportional to 98,630 and 160,239

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Solution

The third proportional to 98,630 and 160,239 is: 260,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,630 : 160,239 = 160,239 : x
  2. Step 2: Convert to fraction form
    98,630/160,239 = 160,239/x
  3. Step 3: Cross multiply
    98,630x = 160,239 × 160,239
  4. Step 4: Simplify right side
    98,630x = 25,676,537,121
  5. Step 5: Solve for x
    x = 25,676,537,121/98,630
  6. Step 6: Final answer
    x = 260,331.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.