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Finding the Third Proportional to 72,891 and 112,442.63

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Solution

The third proportional to 72,891 and 112,442.63 is: 173,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,891 : 112,442.63 = 112,442.63 : x
  2. Step 2: Convert to fraction form
    72,891/112,442.63 = 112,442.63/x
  3. Step 3: Cross multiply
    72,891x = 112,442.63 × 112,442.63
  4. Step 4: Simplify right side
    72,891x = 12,643,343,916.89
  5. Step 5: Solve for x
    x = 12,643,343,916.89/72,891
  6. Step 6: Final answer
    x = 173,455.49

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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.