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Finding the Third Proportional to 74,859.50 and 110,098.50

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Solution

The third proportional to 74,859.50 and 110,098.50 is: 161,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.50 : 110,098.50 = 110,098.50 : x
  2. Step 2: Convert to fraction form
    74,859.50/110,098.50 = 110,098.50/x
  3. Step 3: Cross multiply
    74,859.50x = 110,098.50 × 110,098.50
  4. Step 4: Simplify right side
    74,859.50x = 12,121,679,702.25
  5. Step 5: Solve for x
    x = 12,121,679,702.25/74,859.50
  6. Step 6: Final answer
    x = 161,925.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.