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Finding the Third Proportional to 58,196 and 88,985

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Solution

The third proportional to 58,196 and 88,985 is: 136,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,196 : 88,985 = 88,985 : x
  2. Step 2: Convert to fraction form
    58,196/88,985 = 88,985/x
  3. Step 3: Cross multiply
    58,196x = 88,985 × 88,985
  4. Step 4: Simplify right side
    58,196x = 7,918,330,225
  5. Step 5: Solve for x
    x = 7,918,330,225/58,196
  6. Step 6: Final answer
    x = 136,063.14

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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.