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Finding the Third Proportional to 112,416 and 169,362

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Solution

The third proportional to 112,416 and 169,362 is: 255,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 169,362 = 169,362 : x
  2. Step 2: Convert to fraction form
    112,416/169,362 = 169,362/x
  3. Step 3: Cross multiply
    112,416x = 169,362 × 169,362
  4. Step 4: Simplify right side
    112,416x = 28,683,487,044
  5. Step 5: Solve for x
    x = 28,683,487,044/112,416
  6. Step 6: Final answer
    x = 255,154.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.