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Finding the Third Proportional to 75,748.50 and 112,158

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Solution

The third proportional to 75,748.50 and 112,158 is: 166,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748.50 : 112,158 = 112,158 : x
  2. Step 2: Convert to fraction form
    75,748.50/112,158 = 112,158/x
  3. Step 3: Cross multiply
    75,748.50x = 112,158 × 112,158
  4. Step 4: Simplify right side
    75,748.50x = 12,579,416,964
  5. Step 5: Solve for x
    x = 12,579,416,964/75,748.50
  6. Step 6: Final answer
    x = 166,068.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.