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Finding the Third Proportional to 106,713 and 164,686.50

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Solution

The third proportional to 106,713 and 164,686.50 is: 254,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713 : 164,686.50 = 164,686.50 : x
  2. Step 2: Convert to fraction form
    106,713/164,686.50 = 164,686.50/x
  3. Step 3: Cross multiply
    106,713x = 164,686.50 × 164,686.50
  4. Step 4: Simplify right side
    106,713x = 27,121,643,282.25
  5. Step 5: Solve for x
    x = 27,121,643,282.25/106,713
  6. Step 6: Final answer
    x = 254,155.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.