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Finding the Third Proportional to 42,948 and 65,703

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Solution

The third proportional to 42,948 and 65,703 is: 100,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948 : 65,703 = 65,703 : x
  2. Step 2: Convert to fraction form
    42,948/65,703 = 65,703/x
  3. Step 3: Cross multiply
    42,948x = 65,703 × 65,703
  4. Step 4: Simplify right side
    42,948x = 4,316,884,209
  5. Step 5: Solve for x
    x = 4,316,884,209/42,948
  6. Step 6: Final answer
    x = 100,514.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.