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Finding the Third Proportional to 58,178 and 88,959

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Solution

The third proportional to 58,178 and 88,959 is: 136,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,178 : 88,959 = 88,959 : x
  2. Step 2: Convert to fraction form
    58,178/88,959 = 88,959/x
  3. Step 3: Cross multiply
    58,178x = 88,959 × 88,959
  4. Step 4: Simplify right side
    58,178x = 7,913,703,681
  5. Step 5: Solve for x
    x = 7,913,703,681/58,178
  6. Step 6: Final answer
    x = 136,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.