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Finding the Third Proportional to 60,056 and 94,209

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Solution

The third proportional to 60,056 and 94,209 is: 147,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,056 : 94,209 = 94,209 : x
  2. Step 2: Convert to fraction form
    60,056/94,209 = 94,209/x
  3. Step 3: Cross multiply
    60,056x = 94,209 × 94,209
  4. Step 4: Simplify right side
    60,056x = 8,875,335,681
  5. Step 5: Solve for x
    x = 8,875,335,681/60,056
  6. Step 6: Final answer
    x = 147,784.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.