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Finding the Third Proportional to 98,212.50 and 148,140

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Solution

The third proportional to 98,212.50 and 148,140 is: 223,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212.50 : 148,140 = 148,140 : x
  2. Step 2: Convert to fraction form
    98,212.50/148,140 = 148,140/x
  3. Step 3: Cross multiply
    98,212.50x = 148,140 × 148,140
  4. Step 4: Simplify right side
    98,212.50x = 21,945,459,600
  5. Step 5: Solve for x
    x = 21,945,459,600/98,212.50
  6. Step 6: Final answer
    x = 223,448.74

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