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Finding the Third Proportional to 75,159 and 110,497.50

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Solution

The third proportional to 75,159 and 110,497.50 is: 162,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,159 : 110,497.50 = 110,497.50 : x
  2. Step 2: Convert to fraction form
    75,159/110,497.50 = 110,497.50/x
  3. Step 3: Cross multiply
    75,159x = 110,497.50 × 110,497.50
  4. Step 4: Simplify right side
    75,159x = 12,209,697,506.25
  5. Step 5: Solve for x
    x = 12,209,697,506.25/75,159
  6. Step 6: Final answer
    x = 162,451.57

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Why These Related Problems?

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