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Finding the Third Proportional to 61,461 and 93,831.75

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Solution

The third proportional to 61,461 and 93,831.75 is: 143,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 93,831.75 = 93,831.75 : x
  2. Step 2: Convert to fraction form
    61,461/93,831.75 = 93,831.75/x
  3. Step 3: Cross multiply
    61,461x = 93,831.75 × 93,831.75
  4. Step 4: Simplify right side
    61,461x = 8,804,397,308.06
  5. Step 5: Solve for x
    x = 8,804,397,308.06/61,461
  6. Step 6: Final answer
    x = 143,251.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.