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Finding the Third Proportional to 63,312 and 93,992

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Solution

The third proportional to 63,312 and 93,992 is: 139,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,312 : 93,992 = 93,992 : x
  2. Step 2: Convert to fraction form
    63,312/93,992 = 93,992/x
  3. Step 3: Cross multiply
    63,312x = 93,992 × 93,992
  4. Step 4: Simplify right side
    63,312x = 8,834,496,064
  5. Step 5: Solve for x
    x = 8,834,496,064/63,312
  6. Step 6: Final answer
    x = 139,539.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.