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Finding the Third Proportional to 77,718.75 and 116,866.50

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Solution

The third proportional to 77,718.75 and 116,866.50 is: 175,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.75 : 116,866.50 = 116,866.50 : x
  2. Step 2: Convert to fraction form
    77,718.75/116,866.50 = 116,866.50/x
  3. Step 3: Cross multiply
    77,718.75x = 116,866.50 × 116,866.50
  4. Step 4: Simplify right side
    77,718.75x = 13,657,778,822.25
  5. Step 5: Solve for x
    x = 13,657,778,822.25/77,718.75
  6. Step 6: Final answer
    x = 175,733.38

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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.