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Finding the Third Proportional to 40,215 and 85,953

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Solution

The third proportional to 40,215 and 85,953 is: 183,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,215 : 85,953 = 85,953 : x
  2. Step 2: Convert to fraction form
    40,215/85,953 = 85,953/x
  3. Step 3: Cross multiply
    40,215x = 85,953 × 85,953
  4. Step 4: Simplify right side
    40,215x = 7,387,918,209
  5. Step 5: Solve for x
    x = 7,387,918,209/40,215
  6. Step 6: Final answer
    x = 183,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.