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Finding the Third Proportional to 77,952 and 121,488

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Solution

The third proportional to 77,952 and 121,488 is: 189,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952 : 121,488 = 121,488 : x
  2. Step 2: Convert to fraction form
    77,952/121,488 = 121,488/x
  3. Step 3: Cross multiply
    77,952x = 121,488 × 121,488
  4. Step 4: Simplify right side
    77,952x = 14,759,334,144
  5. Step 5: Solve for x
    x = 14,759,334,144/77,952
  6. Step 6: Final answer
    x = 189,338.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.