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Finding the Third Proportional to 61,813.50 and 93,008.25

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Solution

The third proportional to 61,813.50 and 93,008.25 is: 139,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,813.50 : 93,008.25 = 93,008.25 : x
  2. Step 2: Convert to fraction form
    61,813.50/93,008.25 = 93,008.25/x
  3. Step 3: Cross multiply
    61,813.50x = 93,008.25 × 93,008.25
  4. Step 4: Simplify right side
    61,813.50x = 8,650,534,568.06
  5. Step 5: Solve for x
    x = 8,650,534,568.06/61,813.50
  6. Step 6: Final answer
    x = 139,945.72

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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.