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Finding the Third Proportional to 66,831.75 and 97,237.50

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Solution

The third proportional to 66,831.75 and 97,237.50 is: 141,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831.75 : 97,237.50 = 97,237.50 : x
  2. Step 2: Convert to fraction form
    66,831.75/97,237.50 = 97,237.50/x
  3. Step 3: Cross multiply
    66,831.75x = 97,237.50 × 97,237.50
  4. Step 4: Simplify right side
    66,831.75x = 9,455,131,406.25
  5. Step 5: Solve for x
    x = 9,455,131,406.25/66,831.75
  6. Step 6: Final answer
    x = 141,476.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.