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Finding the Third Proportional to 112,294 and 168,897

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Solution

The third proportional to 112,294 and 168,897 is: 254,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,294 : 168,897 = 168,897 : x
  2. Step 2: Convert to fraction form
    112,294/168,897 = 168,897/x
  3. Step 3: Cross multiply
    112,294x = 168,897 × 168,897
  4. Step 4: Simplify right side
    112,294x = 28,526,196,609
  5. Step 5: Solve for x
    x = 28,526,196,609/112,294
  6. Step 6: Final answer
    x = 254,031.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.