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Finding the Third Proportional to 102,871 and 160,321

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Solution

The third proportional to 102,871 and 160,321 is: 249,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871 : 160,321 = 160,321 : x
  2. Step 2: Convert to fraction form
    102,871/160,321 = 160,321/x
  3. Step 3: Cross multiply
    102,871x = 160,321 × 160,321
  4. Step 4: Simplify right side
    102,871x = 25,702,823,041
  5. Step 5: Solve for x
    x = 25,702,823,041/102,871
  6. Step 6: Final answer
    x = 249,854.90

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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.