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Finding the Third Proportional to 42,534 and 99,347

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Solution

The third proportional to 42,534 and 99,347 is: 232,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534 : 99,347 = 99,347 : x
  2. Step 2: Convert to fraction form
    42,534/99,347 = 99,347/x
  3. Step 3: Cross multiply
    42,534x = 99,347 × 99,347
  4. Step 4: Simplify right side
    42,534x = 9,869,826,409
  5. Step 5: Solve for x
    x = 9,869,826,409/42,534
  6. Step 6: Final answer
    x = 232,045.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.