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Finding the Third Proportional to 110,312.50 and 165,023

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Solution

The third proportional to 110,312.50 and 165,023 is: 246,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,312.50 : 165,023 = 165,023 : x
  2. Step 2: Convert to fraction form
    110,312.50/165,023 = 165,023/x
  3. Step 3: Cross multiply
    110,312.50x = 165,023 × 165,023
  4. Step 4: Simplify right side
    110,312.50x = 27,232,590,529
  5. Step 5: Solve for x
    x = 27,232,590,529/110,312.50
  6. Step 6: Final answer
    x = 246,867.68

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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.