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Finding the Third Proportional to 112,117 and 166,577.50

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Solution

The third proportional to 112,117 and 166,577.50 is: 247,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,117 : 166,577.50 = 166,577.50 : x
  2. Step 2: Convert to fraction form
    112,117/166,577.50 = 166,577.50/x
  3. Step 3: Cross multiply
    112,117x = 166,577.50 × 166,577.50
  4. Step 4: Simplify right side
    112,117x = 27,748,063,506.25
  5. Step 5: Solve for x
    x = 27,748,063,506.25/112,117
  6. Step 6: Final answer
    x = 247,492.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.