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Finding the Third Proportional to 62,606 and 97,091

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Solution

The third proportional to 62,606 and 97,091 is: 150,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,606 : 97,091 = 97,091 : x
  2. Step 2: Convert to fraction form
    62,606/97,091 = 97,091/x
  3. Step 3: Cross multiply
    62,606x = 97,091 × 97,091
  4. Step 4: Simplify right side
    62,606x = 9,426,662,281
  5. Step 5: Solve for x
    x = 9,426,662,281/62,606
  6. Step 6: Final answer
    x = 150,571.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.