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Finding the Third Proportional to 58,402 and 90,327

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Solution

The third proportional to 58,402 and 90,327 is: 139,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,402 : 90,327 = 90,327 : x
  2. Step 2: Convert to fraction form
    58,402/90,327 = 90,327/x
  3. Step 3: Cross multiply
    58,402x = 90,327 × 90,327
  4. Step 4: Simplify right side
    58,402x = 8,158,966,929
  5. Step 5: Solve for x
    x = 8,158,966,929/58,402
  6. Step 6: Final answer
    x = 139,703.55

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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.