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Finding the Third Proportional to 58,594 and 90,803

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Solution

The third proportional to 58,594 and 90,803 is: 140,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,594 : 90,803 = 90,803 : x
  2. Step 2: Convert to fraction form
    58,594/90,803 = 90,803/x
  3. Step 3: Cross multiply
    58,594x = 90,803 × 90,803
  4. Step 4: Simplify right side
    58,594x = 8,245,184,809
  5. Step 5: Solve for x
    x = 8,245,184,809/58,594
  6. Step 6: Final answer
    x = 140,717.22

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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.