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Finding the Third Proportional to 60,948 and 97,326

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Solution

The third proportional to 60,948 and 97,326 is: 155,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,948 : 97,326 = 97,326 : x
  2. Step 2: Convert to fraction form
    60,948/97,326 = 97,326/x
  3. Step 3: Cross multiply
    60,948x = 97,326 × 97,326
  4. Step 4: Simplify right side
    60,948x = 9,472,350,276
  5. Step 5: Solve for x
    x = 9,472,350,276/60,948
  6. Step 6: Final answer
    x = 155,416.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.