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Finding the Third Proportional to 84,460 and 113,706

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Solution

The third proportional to 84,460 and 113,706 is: 153,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460 : 113,706 = 113,706 : x
  2. Step 2: Convert to fraction form
    84,460/113,706 = 113,706/x
  3. Step 3: Cross multiply
    84,460x = 113,706 × 113,706
  4. Step 4: Simplify right side
    84,460x = 12,929,054,436
  5. Step 5: Solve for x
    x = 12,929,054,436/84,460
  6. Step 6: Final answer
    x = 153,079.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.