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Finding the Third Proportional to 58,320 and 90,477

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Solution

The third proportional to 58,320 and 90,477 is: 140,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,320 : 90,477 = 90,477 : x
  2. Step 2: Convert to fraction form
    58,320/90,477 = 90,477/x
  3. Step 3: Cross multiply
    58,320x = 90,477 × 90,477
  4. Step 4: Simplify right side
    58,320x = 8,186,087,529
  5. Step 5: Solve for x
    x = 8,186,087,529/58,320
  6. Step 6: Final answer
    x = 140,365.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.