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Finding the Third Proportional to 110,803.50 and 182,038.50

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Solution

The third proportional to 110,803.50 and 182,038.50 is: 299,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,803.50 : 182,038.50 = 182,038.50 : x
  2. Step 2: Convert to fraction form
    110,803.50/182,038.50 = 182,038.50/x
  3. Step 3: Cross multiply
    110,803.50x = 182,038.50 × 182,038.50
  4. Step 4: Simplify right side
    110,803.50x = 33,138,015,482.25
  5. Step 5: Solve for x
    x = 33,138,015,482.25/110,803.50
  6. Step 6: Final answer
    x = 299,070.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.