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Finding the Third Proportional to 58,740 and 94,582

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Solution

The third proportional to 58,740 and 94,582 is: 152,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,740 : 94,582 = 94,582 : x
  2. Step 2: Convert to fraction form
    58,740/94,582 = 94,582/x
  3. Step 3: Cross multiply
    58,740x = 94,582 × 94,582
  4. Step 4: Simplify right side
    58,740x = 8,945,754,724
  5. Step 5: Solve for x
    x = 8,945,754,724/58,740
  6. Step 6: Final answer
    x = 152,294.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.