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Finding the Third Proportional to 72,230.91 and 112,281.19

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Solution

The third proportional to 72,230.91 and 112,281.19 is: 174,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230.91 : 112,281.19 = 112,281.19 : x
  2. Step 2: Convert to fraction form
    72,230.91/112,281.19 = 112,281.19/x
  3. Step 3: Cross multiply
    72,230.91x = 112,281.19 × 112,281.19
  4. Step 4: Simplify right side
    72,230.91x = 12,607,065,066.41
  5. Step 5: Solve for x
    x = 12,607,065,066.41/72,230.91
  6. Step 6: Final answer
    x = 174,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.