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Finding the Third Proportional to 95,073 and 142,312.50

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Solution

The third proportional to 95,073 and 142,312.50 is: 213,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,073 : 142,312.50 = 142,312.50 : x
  2. Step 2: Convert to fraction form
    95,073/142,312.50 = 142,312.50/x
  3. Step 3: Cross multiply
    95,073x = 142,312.50 × 142,312.50
  4. Step 4: Simplify right side
    95,073x = 20,252,847,656.25
  5. Step 5: Solve for x
    x = 20,252,847,656.25/95,073
  6. Step 6: Final answer
    x = 213,024.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.