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Finding the Third Proportional to 60,675.75 and 94,977

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Solution

The third proportional to 60,675.75 and 94,977 is: 148,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,675.75 : 94,977 = 94,977 : x
  2. Step 2: Convert to fraction form
    60,675.75/94,977 = 94,977/x
  3. Step 3: Cross multiply
    60,675.75x = 94,977 × 94,977
  4. Step 4: Simplify right side
    60,675.75x = 9,020,630,529
  5. Step 5: Solve for x
    x = 9,020,630,529/60,675.75
  6. Step 6: Final answer
    x = 148,669.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.