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Finding the Third Proportional to 77,920.50 and 116,878.50

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Solution

The third proportional to 77,920.50 and 116,878.50 is: 175,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920.50 : 116,878.50 = 116,878.50 : x
  2. Step 2: Convert to fraction form
    77,920.50/116,878.50 = 116,878.50/x
  3. Step 3: Cross multiply
    77,920.50x = 116,878.50 × 116,878.50
  4. Step 4: Simplify right side
    77,920.50x = 13,660,583,762.25
  5. Step 5: Solve for x
    x = 13,660,583,762.25/77,920.50
  6. Step 6: Final answer
    x = 175,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.