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Finding the Third Proportional to 121,548 and 183,998

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Solution

The third proportional to 121,548 and 183,998 is: 278,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,548 : 183,998 = 183,998 : x
  2. Step 2: Convert to fraction form
    121,548/183,998 = 183,998/x
  3. Step 3: Cross multiply
    121,548x = 183,998 × 183,998
  4. Step 4: Simplify right side
    121,548x = 33,855,264,004
  5. Step 5: Solve for x
    x = 33,855,264,004/121,548
  6. Step 6: Final answer
    x = 278,534.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.