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Finding the Third Proportional to 129,613.50 and 185,348

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Solution

The third proportional to 129,613.50 and 185,348 is: 265,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,613.50 : 185,348 = 185,348 : x
  2. Step 2: Convert to fraction form
    129,613.50/185,348 = 185,348/x
  3. Step 3: Cross multiply
    129,613.50x = 185,348 × 185,348
  4. Step 4: Simplify right side
    129,613.50x = 34,353,881,104
  5. Step 5: Solve for x
    x = 34,353,881,104/129,613.50
  6. Step 6: Final answer
    x = 265,048.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.