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Finding the Third Proportional to 65,931.50 and 104,823.75

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Solution

The third proportional to 65,931.50 and 104,823.75 is: 166,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,931.50 : 104,823.75 = 104,823.75 : x
  2. Step 2: Convert to fraction form
    65,931.50/104,823.75 = 104,823.75/x
  3. Step 3: Cross multiply
    65,931.50x = 104,823.75 × 104,823.75
  4. Step 4: Simplify right side
    65,931.50x = 10,988,018,564.06
  5. Step 5: Solve for x
    x = 10,988,018,564.06/65,931.50
  6. Step 6: Final answer
    x = 166,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.