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Finding the Third Proportional to 77,208.75 and 116,641.13

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Solution

The third proportional to 77,208.75 and 116,641.13 is: 176,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,208.75 : 116,641.13 = 116,641.13 : x
  2. Step 2: Convert to fraction form
    77,208.75/116,641.13 = 116,641.13/x
  3. Step 3: Cross multiply
    77,208.75x = 116,641.13 × 116,641.13
  4. Step 4: Simplify right side
    77,208.75x = 13,605,152,041.27
  5. Step 5: Solve for x
    x = 13,605,152,041.27/77,208.75
  6. Step 6: Final answer
    x = 176,212.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.