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Finding the Third Proportional to 58,783 and 85,658

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Solution

The third proportional to 58,783 and 85,658 is: 124,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,783 : 85,658 = 85,658 : x
  2. Step 2: Convert to fraction form
    58,783/85,658 = 85,658/x
  3. Step 3: Cross multiply
    58,783x = 85,658 × 85,658
  4. Step 4: Simplify right side
    58,783x = 7,337,292,964
  5. Step 5: Solve for x
    x = 7,337,292,964/58,783
  6. Step 6: Final answer
    x = 124,819.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.