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Finding the Third Proportional to 113,005.13 and 154,953

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Solution

The third proportional to 113,005.13 and 154,953 is: 212,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,005.13 : 154,953 = 154,953 : x
  2. Step 2: Convert to fraction form
    113,005.13/154,953 = 154,953/x
  3. Step 3: Cross multiply
    113,005.13x = 154,953 × 154,953
  4. Step 4: Simplify right side
    113,005.13x = 24,010,432,209
  5. Step 5: Solve for x
    x = 24,010,432,209/113,005.13
  6. Step 6: Final answer
    x = 212,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.