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Finding the Third Proportional to 102,865 and 160,312

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Solution

The third proportional to 102,865 and 160,312 is: 249,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865 : 160,312 = 160,312 : x
  2. Step 2: Convert to fraction form
    102,865/160,312 = 160,312/x
  3. Step 3: Cross multiply
    102,865x = 160,312 × 160,312
  4. Step 4: Simplify right side
    102,865x = 25,699,937,344
  5. Step 5: Solve for x
    x = 25,699,937,344/102,865
  6. Step 6: Final answer
    x = 249,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.