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Finding the Third Proportional to 69,335 and 141,946

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Solution

The third proportional to 69,335 and 141,946 is: 290,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,335 : 141,946 = 141,946 : x
  2. Step 2: Convert to fraction form
    69,335/141,946 = 141,946/x
  3. Step 3: Cross multiply
    69,335x = 141,946 × 141,946
  4. Step 4: Simplify right side
    69,335x = 20,148,666,916
  5. Step 5: Solve for x
    x = 20,148,666,916/69,335
  6. Step 6: Final answer
    x = 290,598.79

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.