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Finding the Third Proportional to 72,358 and 112,023

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Solution

The third proportional to 72,358 and 112,023 is: 173,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358 : 112,023 = 112,023 : x
  2. Step 2: Convert to fraction form
    72,358/112,023 = 112,023/x
  3. Step 3: Cross multiply
    72,358x = 112,023 × 112,023
  4. Step 4: Simplify right side
    72,358x = 12,549,152,529
  5. Step 5: Solve for x
    x = 12,549,152,529/72,358
  6. Step 6: Final answer
    x = 173,431.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.