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Finding the Third Proportional to 98,317.50 and 148,281.75

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Solution

The third proportional to 98,317.50 and 148,281.75 is: 223,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,317.50 : 148,281.75 = 148,281.75 : x
  2. Step 2: Convert to fraction form
    98,317.50/148,281.75 = 148,281.75/x
  3. Step 3: Cross multiply
    98,317.50x = 148,281.75 × 148,281.75
  4. Step 4: Simplify right side
    98,317.50x = 21,987,477,383.06
  5. Step 5: Solve for x
    x = 21,987,477,383.06/98,317.50
  6. Step 6: Final answer
    x = 223,637.47

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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.