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Finding the Third Proportional to 60,054 and 93,483

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Solution

The third proportional to 60,054 and 93,483 is: 145,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,054 : 93,483 = 93,483 : x
  2. Step 2: Convert to fraction form
    60,054/93,483 = 93,483/x
  3. Step 3: Cross multiply
    60,054x = 93,483 × 93,483
  4. Step 4: Simplify right side
    60,054x = 8,739,071,289
  5. Step 5: Solve for x
    x = 8,739,071,289/60,054
  6. Step 6: Final answer
    x = 145,520.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.