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Finding the Third Proportional to 30,088 and 65,196

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Solution

The third proportional to 30,088 and 65,196 is: 141,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,088 : 65,196 = 65,196 : x
  2. Step 2: Convert to fraction form
    30,088/65,196 = 65,196/x
  3. Step 3: Cross multiply
    30,088x = 65,196 × 65,196
  4. Step 4: Simplify right side
    30,088x = 4,250,518,416
  5. Step 5: Solve for x
    x = 4,250,518,416/30,088
  6. Step 6: Final answer
    x = 141,269.56

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Why These Related Problems?

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