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Finding the Third Proportional to 98,538.66 and 152,174.81

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Solution

The third proportional to 98,538.66 and 152,174.81 is: 235,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538.66 : 152,174.81 = 152,174.81 : x
  2. Step 2: Convert to fraction form
    98,538.66/152,174.81 = 152,174.81/x
  3. Step 3: Cross multiply
    98,538.66x = 152,174.81 × 152,174.81
  4. Step 4: Simplify right side
    98,538.66x = 23,157,173,559.41
  5. Step 5: Solve for x
    x = 23,157,173,559.41/98,538.66
  6. Step 6: Final answer
    x = 235,005.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.