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Finding the Third Proportional to 62,672 and 97,090

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Solution

The third proportional to 62,672 and 97,090 is: 150,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,672 : 97,090 = 97,090 : x
  2. Step 2: Convert to fraction form
    62,672/97,090 = 97,090/x
  3. Step 3: Cross multiply
    62,672x = 97,090 × 97,090
  4. Step 4: Simplify right side
    62,672x = 9,426,468,100
  5. Step 5: Solve for x
    x = 9,426,468,100/62,672
  6. Step 6: Final answer
    x = 150,409.56

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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.