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Finding the Third Proportional to 59,261 and 97,880

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Solution

The third proportional to 59,261 and 97,880 is: 161,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,261 : 97,880 = 97,880 : x
  2. Step 2: Convert to fraction form
    59,261/97,880 = 97,880/x
  3. Step 3: Cross multiply
    59,261x = 97,880 × 97,880
  4. Step 4: Simplify right side
    59,261x = 9,580,494,400
  5. Step 5: Solve for x
    x = 9,580,494,400/59,261
  6. Step 6: Final answer
    x = 161,666.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.