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Finding the Third Proportional to 72,925 and 112,501

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Solution

The third proportional to 72,925 and 112,501 is: 173,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,925 : 112,501 = 112,501 : x
  2. Step 2: Convert to fraction form
    72,925/112,501 = 112,501/x
  3. Step 3: Cross multiply
    72,925x = 112,501 × 112,501
  4. Step 4: Simplify right side
    72,925x = 12,656,475,001
  5. Step 5: Solve for x
    x = 12,656,475,001/72,925
  6. Step 6: Final answer
    x = 173,554.68

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Why These Related Problems?

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