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Finding the Third Proportional to 77,206.50 and 117,308.25

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Solution

The third proportional to 77,206.50 and 117,308.25 is: 178,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.50 : 117,308.25 = 117,308.25 : x
  2. Step 2: Convert to fraction form
    77,206.50/117,308.25 = 117,308.25/x
  3. Step 3: Cross multiply
    77,206.50x = 117,308.25 × 117,308.25
  4. Step 4: Simplify right side
    77,206.50x = 13,761,225,518.06
  5. Step 5: Solve for x
    x = 13,761,225,518.06/77,206.50
  6. Step 6: Final answer
    x = 178,239.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.