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Finding the Third Proportional to 58,392 and 90,323

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Solution

The third proportional to 58,392 and 90,323 is: 139,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,392 : 90,323 = 90,323 : x
  2. Step 2: Convert to fraction form
    58,392/90,323 = 90,323/x
  3. Step 3: Cross multiply
    58,392x = 90,323 × 90,323
  4. Step 4: Simplify right side
    58,392x = 8,158,244,329
  5. Step 5: Solve for x
    x = 8,158,244,329/58,392
  6. Step 6: Final answer
    x = 139,715.10

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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.