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Finding the Third Proportional to 64,498.50 and 97,125.75

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Solution

The third proportional to 64,498.50 and 97,125.75 is: 146,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498.50 : 97,125.75 = 97,125.75 : x
  2. Step 2: Convert to fraction form
    64,498.50/97,125.75 = 97,125.75/x
  3. Step 3: Cross multiply
    64,498.50x = 97,125.75 × 97,125.75
  4. Step 4: Simplify right side
    64,498.50x = 9,433,411,313.06
  5. Step 5: Solve for x
    x = 9,433,411,313.06/64,498.50
  6. Step 6: Final answer
    x = 146,257.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.