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Finding the Third Proportional to 110,746.13 and 166,084.88

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Solution

The third proportional to 110,746.13 and 166,084.88 is: 249,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,746.13 : 166,084.88 = 166,084.88 : x
  2. Step 2: Convert to fraction form
    110,746.13/166,084.88 = 166,084.88/x
  3. Step 3: Cross multiply
    110,746.13x = 166,084.88 × 166,084.88
  4. Step 4: Simplify right side
    110,746.13x = 27,584,185,703.77
  5. Step 5: Solve for x
    x = 27,584,185,703.77/110,746.13
  6. Step 6: Final answer
    x = 249,075.85

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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.