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Finding the Third Proportional to 58,924 and 128,093.50

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Solution

The third proportional to 58,924 and 128,093.50 is: 278,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,924 : 128,093.50 = 128,093.50 : x
  2. Step 2: Convert to fraction form
    58,924/128,093.50 = 128,093.50/x
  3. Step 3: Cross multiply
    58,924x = 128,093.50 × 128,093.50
  4. Step 4: Simplify right side
    58,924x = 16,407,944,742.25
  5. Step 5: Solve for x
    x = 16,407,944,742.25/58,924
  6. Step 6: Final answer
    x = 278,459.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.