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Finding the Third Proportional to 97,724 and 149,746

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Solution

The third proportional to 97,724 and 149,746 is: 229,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,724 : 149,746 = 149,746 : x
  2. Step 2: Convert to fraction form
    97,724/149,746 = 149,746/x
  3. Step 3: Cross multiply
    97,724x = 149,746 × 149,746
  4. Step 4: Simplify right side
    97,724x = 22,423,864,516
  5. Step 5: Solve for x
    x = 22,423,864,516/97,724
  6. Step 6: Final answer
    x = 229,461.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.