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Finding the Third Proportional to 121,801.50 and 179,010

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Solution

The third proportional to 121,801.50 and 179,010 is: 263,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,801.50 : 179,010 = 179,010 : x
  2. Step 2: Convert to fraction form
    121,801.50/179,010 = 179,010/x
  3. Step 3: Cross multiply
    121,801.50x = 179,010 × 179,010
  4. Step 4: Simplify right side
    121,801.50x = 32,044,580,100
  5. Step 5: Solve for x
    x = 32,044,580,100/121,801.50
  6. Step 6: Final answer
    x = 263,088.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.