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Finding the Third Proportional to 66,973.50 and 97,881.75

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Solution

The third proportional to 66,973.50 and 97,881.75 is: 143,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,973.50 : 97,881.75 = 97,881.75 : x
  2. Step 2: Convert to fraction form
    66,973.50/97,881.75 = 97,881.75/x
  3. Step 3: Cross multiply
    66,973.50x = 97,881.75 × 97,881.75
  4. Step 4: Simplify right side
    66,973.50x = 9,580,836,983.06
  5. Step 5: Solve for x
    x = 9,580,836,983.06/66,973.50
  6. Step 6: Final answer
    x = 143,054.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.