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Finding the Third Proportional to 63,475 and 136,507

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Solution

The third proportional to 63,475 and 136,507 is: 293,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,475 : 136,507 = 136,507 : x
  2. Step 2: Convert to fraction form
    63,475/136,507 = 136,507/x
  3. Step 3: Cross multiply
    63,475x = 136,507 × 136,507
  4. Step 4: Simplify right side
    63,475x = 18,634,161,049
  5. Step 5: Solve for x
    x = 18,634,161,049/63,475
  6. Step 6: Final answer
    x = 293,566.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.