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Finding the Third Proportional to 66,911.63 and 97,854.75

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Solution

The third proportional to 66,911.63 and 97,854.75 is: 143,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,911.63 : 97,854.75 = 97,854.75 : x
  2. Step 2: Convert to fraction form
    66,911.63/97,854.75 = 97,854.75/x
  3. Step 3: Cross multiply
    66,911.63x = 97,854.75 × 97,854.75
  4. Step 4: Simplify right side
    66,911.63x = 9,575,552,097.56
  5. Step 5: Solve for x
    x = 9,575,552,097.56/66,911.63
  6. Step 6: Final answer
    x = 143,107.45

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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.