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Finding the Third Proportional to 62,271 and 97,295

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Solution

The third proportional to 62,271 and 97,295 is: 152,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271 : 97,295 = 97,295 : x
  2. Step 2: Convert to fraction form
    62,271/97,295 = 97,295/x
  3. Step 3: Cross multiply
    62,271x = 97,295 × 97,295
  4. Step 4: Simplify right side
    62,271x = 9,466,317,025
  5. Step 5: Solve for x
    x = 9,466,317,025/62,271
  6. Step 6: Final answer
    x = 152,018.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.