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Finding the Third Proportional to 97,138 and 154,459

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Solution

The third proportional to 97,138 and 154,459 is: 245,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,138 : 154,459 = 154,459 : x
  2. Step 2: Convert to fraction form
    97,138/154,459 = 154,459/x
  3. Step 3: Cross multiply
    97,138x = 154,459 × 154,459
  4. Step 4: Simplify right side
    97,138x = 23,857,582,681
  5. Step 5: Solve for x
    x = 23,857,582,681/97,138
  6. Step 6: Final answer
    x = 245,605.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.