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Finding the Third Proportional to 64,934.30 and 97,140.09

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Solution

The third proportional to 64,934.30 and 97,140.09 is: 145,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.30 : 97,140.09 = 97,140.09 : x
  2. Step 2: Convert to fraction form
    64,934.30/97,140.09 = 97,140.09/x
  3. Step 3: Cross multiply
    64,934.30x = 97,140.09 × 97,140.09
  4. Step 4: Simplify right side
    64,934.30x = 9,436,197,813.76
  5. Step 5: Solve for x
    x = 9,436,197,813.76/64,934.30
  6. Step 6: Final answer
    x = 145,319.17

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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.