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Finding the Third Proportional to 73,335 and 110,164.50

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Solution

The third proportional to 73,335 and 110,164.50 is: 165,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,335 : 110,164.50 = 110,164.50 : x
  2. Step 2: Convert to fraction form
    73,335/110,164.50 = 110,164.50/x
  3. Step 3: Cross multiply
    73,335x = 110,164.50 × 110,164.50
  4. Step 4: Simplify right side
    73,335x = 12,136,217,060.25
  5. Step 5: Solve for x
    x = 12,136,217,060.25/73,335
  6. Step 6: Final answer
    x = 165,490.11

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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.