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Finding the Third Proportional to 60,207 and 93,529.50

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Solution

The third proportional to 60,207 and 93,529.50 is: 145,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,207 : 93,529.50 = 93,529.50 : x
  2. Step 2: Convert to fraction form
    60,207/93,529.50 = 93,529.50/x
  3. Step 3: Cross multiply
    60,207x = 93,529.50 × 93,529.50
  4. Step 4: Simplify right side
    60,207x = 8,747,767,370.25
  5. Step 5: Solve for x
    x = 8,747,767,370.25/60,207
  6. Step 6: Final answer
    x = 145,294.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.