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Finding the Third Proportional to 63,808 and 149,033

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Solution

The third proportional to 63,808 and 149,033 is: 348,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,808 : 149,033 = 149,033 : x
  2. Step 2: Convert to fraction form
    63,808/149,033 = 149,033/x
  3. Step 3: Cross multiply
    63,808x = 149,033 × 149,033
  4. Step 4: Simplify right side
    63,808x = 22,210,835,089
  5. Step 5: Solve for x
    x = 22,210,835,089/63,808
  6. Step 6: Final answer
    x = 348,088.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.