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Finding the Third Proportional to 63,150 and 105,239

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Solution

The third proportional to 63,150 and 105,239 is: 175,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,150 : 105,239 = 105,239 : x
  2. Step 2: Convert to fraction form
    63,150/105,239 = 105,239/x
  3. Step 3: Cross multiply
    63,150x = 105,239 × 105,239
  4. Step 4: Simplify right side
    63,150x = 11,075,247,121
  5. Step 5: Solve for x
    x = 11,075,247,121/63,150
  6. Step 6: Final answer
    x = 175,380.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.