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Finding the Third Proportional to 99,798 and 158,712.50

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Solution

The third proportional to 99,798 and 158,712.50 is: 252,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798 : 158,712.50 = 158,712.50 : x
  2. Step 2: Convert to fraction form
    99,798/158,712.50 = 158,712.50/x
  3. Step 3: Cross multiply
    99,798x = 158,712.50 × 158,712.50
  4. Step 4: Simplify right side
    99,798x = 25,189,657,656.25
  5. Step 5: Solve for x
    x = 25,189,657,656.25/99,798
  6. Step 6: Final answer
    x = 252,406.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.