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Finding the Third Proportional to 112,020 and 173,460

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Solution

The third proportional to 112,020 and 173,460 is: 268,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,020 : 173,460 = 173,460 : x
  2. Step 2: Convert to fraction form
    112,020/173,460 = 173,460/x
  3. Step 3: Cross multiply
    112,020x = 173,460 × 173,460
  4. Step 4: Simplify right side
    112,020x = 30,088,371,600
  5. Step 5: Solve for x
    x = 30,088,371,600/112,020
  6. Step 6: Final answer
    x = 268,598.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.