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Finding the Third Proportional to 63,775.50 and 139,033

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Solution

The third proportional to 63,775.50 and 139,033 is: 303,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,775.50 : 139,033 = 139,033 : x
  2. Step 2: Convert to fraction form
    63,775.50/139,033 = 139,033/x
  3. Step 3: Cross multiply
    63,775.50x = 139,033 × 139,033
  4. Step 4: Simplify right side
    63,775.50x = 19,330,175,089
  5. Step 5: Solve for x
    x = 19,330,175,089/63,775.50
  6. Step 6: Final answer
    x = 303,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.