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Finding the Third Proportional to 63,033 and 134,409

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Solution

The third proportional to 63,033 and 134,409 is: 286,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,033 : 134,409 = 134,409 : x
  2. Step 2: Convert to fraction form
    63,033/134,409 = 134,409/x
  3. Step 3: Cross multiply
    63,033x = 134,409 × 134,409
  4. Step 4: Simplify right side
    63,033x = 18,065,779,281
  5. Step 5: Solve for x
    x = 18,065,779,281/63,033
  6. Step 6: Final answer
    x = 286,608.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.