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Finding the Third Proportional to 76,275 and 110,038.50

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Solution

The third proportional to 76,275 and 110,038.50 is: 158,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,275 : 110,038.50 = 110,038.50 : x
  2. Step 2: Convert to fraction form
    76,275/110,038.50 = 110,038.50/x
  3. Step 3: Cross multiply
    76,275x = 110,038.50 × 110,038.50
  4. Step 4: Simplify right side
    76,275x = 12,108,471,482.25
  5. Step 5: Solve for x
    x = 12,108,471,482.25/76,275
  6. Step 6: Final answer
    x = 158,747.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.