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Finding the Third Proportional to 77,413 and 115,831.50

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Solution

The third proportional to 77,413 and 115,831.50 is: 173,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413 : 115,831.50 = 115,831.50 : x
  2. Step 2: Convert to fraction form
    77,413/115,831.50 = 115,831.50/x
  3. Step 3: Cross multiply
    77,413x = 115,831.50 × 115,831.50
  4. Step 4: Simplify right side
    77,413x = 13,416,936,392.25
  5. Step 5: Solve for x
    x = 13,416,936,392.25/77,413
  6. Step 6: Final answer
    x = 173,316.32

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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.