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Finding the Third Proportional to 58,416 and 94,915

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Solution

The third proportional to 58,416 and 94,915 is: 154,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,416 : 94,915 = 94,915 : x
  2. Step 2: Convert to fraction form
    58,416/94,915 = 94,915/x
  3. Step 3: Cross multiply
    58,416x = 94,915 × 94,915
  4. Step 4: Simplify right side
    58,416x = 9,008,857,225
  5. Step 5: Solve for x
    x = 9,008,857,225/58,416
  6. Step 6: Final answer
    x = 154,219.00

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.