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Finding the Third Proportional to 97,470 and 149,724

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Solution

The third proportional to 97,470 and 149,724 is: 229,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470 : 149,724 = 149,724 : x
  2. Step 2: Convert to fraction form
    97,470/149,724 = 149,724/x
  3. Step 3: Cross multiply
    97,470x = 149,724 × 149,724
  4. Step 4: Simplify right side
    97,470x = 22,417,276,176
  5. Step 5: Solve for x
    x = 22,417,276,176/97,470
  6. Step 6: Final answer
    x = 229,991.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.