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Finding the Third Proportional to 72,751 and 112,127

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Solution

The third proportional to 72,751 and 112,127 is: 172,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,751 : 112,127 = 112,127 : x
  2. Step 2: Convert to fraction form
    72,751/112,127 = 112,127/x
  3. Step 3: Cross multiply
    72,751x = 112,127 × 112,127
  4. Step 4: Simplify right side
    72,751x = 12,572,464,129
  5. Step 5: Solve for x
    x = 12,572,464,129/72,751
  6. Step 6: Final answer
    x = 172,815.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.