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Finding the Third Proportional to 77,803 and 110,098.50

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Solution

The third proportional to 77,803 and 110,098.50 is: 155,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,803 : 110,098.50 = 110,098.50 : x
  2. Step 2: Convert to fraction form
    77,803/110,098.50 = 110,098.50/x
  3. Step 3: Cross multiply
    77,803x = 110,098.50 × 110,098.50
  4. Step 4: Simplify right side
    77,803x = 12,121,679,702.25
  5. Step 5: Solve for x
    x = 12,121,679,702.25/77,803
  6. Step 6: Final answer
    x = 155,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.