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Finding the Third Proportional to 121,848.50 and 181,758.50

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Solution

The third proportional to 121,848.50 and 181,758.50 is: 271,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,848.50 : 181,758.50 = 181,758.50 : x
  2. Step 2: Convert to fraction form
    121,848.50/181,758.50 = 181,758.50/x
  3. Step 3: Cross multiply
    121,848.50x = 181,758.50 × 181,758.50
  4. Step 4: Simplify right side
    121,848.50x = 33,036,152,322.25
  5. Step 5: Solve for x
    x = 33,036,152,322.25/121,848.50
  6. Step 6: Final answer
    x = 271,124.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.