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Finding the Third Proportional to 60,509 and 90,733

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Solution

The third proportional to 60,509 and 90,733 is: 136,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,509 : 90,733 = 90,733 : x
  2. Step 2: Convert to fraction form
    60,509/90,733 = 90,733/x
  3. Step 3: Cross multiply
    60,509x = 90,733 × 90,733
  4. Step 4: Simplify right side
    60,509x = 8,232,477,289
  5. Step 5: Solve for x
    x = 8,232,477,289/60,509
  6. Step 6: Final answer
    x = 136,053.77

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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.