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Finding the Third Proportional to 58,454 and 90,409

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Solution

The third proportional to 58,454 and 90,409 is: 139,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,454 : 90,409 = 90,409 : x
  2. Step 2: Convert to fraction form
    58,454/90,409 = 90,409/x
  3. Step 3: Cross multiply
    58,454x = 90,409 × 90,409
  4. Step 4: Simplify right side
    58,454x = 8,173,787,281
  5. Step 5: Solve for x
    x = 8,173,787,281/58,454
  6. Step 6: Final answer
    x = 139,832.81

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Why These Related Problems?

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