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Finding the Third Proportional to 89,460 and 141,480

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Solution

The third proportional to 89,460 and 141,480 is: 223,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460 : 141,480 = 141,480 : x
  2. Step 2: Convert to fraction form
    89,460/141,480 = 141,480/x
  3. Step 3: Cross multiply
    89,460x = 141,480 × 141,480
  4. Step 4: Simplify right side
    89,460x = 20,016,590,400
  5. Step 5: Solve for x
    x = 20,016,590,400/89,460
  6. Step 6: Final answer
    x = 223,749.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.