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Finding the Third Proportional to 90,312 and 139,564

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Solution

The third proportional to 90,312 and 139,564 is: 215,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,312 : 139,564 = 139,564 : x
  2. Step 2: Convert to fraction form
    90,312/139,564 = 139,564/x
  3. Step 3: Cross multiply
    90,312x = 139,564 × 139,564
  4. Step 4: Simplify right side
    90,312x = 19,478,110,096
  5. Step 5: Solve for x
    x = 19,478,110,096/90,312
  6. Step 6: Final answer
    x = 215,675.77

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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.