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Finding the Third Proportional to 124,254 and 197,640

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Solution

The third proportional to 124,254 and 197,640 is: 314,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,254 : 197,640 = 197,640 : x
  2. Step 2: Convert to fraction form
    124,254/197,640 = 197,640/x
  3. Step 3: Cross multiply
    124,254x = 197,640 × 197,640
  4. Step 4: Simplify right side
    124,254x = 39,061,569,600
  5. Step 5: Solve for x
    x = 39,061,569,600/124,254
  6. Step 6: Final answer
    x = 314,368.71

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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.