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Finding the Third Proportional to 59,594 and 88,361

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Solution

The third proportional to 59,594 and 88,361 is: 131,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,594 : 88,361 = 88,361 : x
  2. Step 2: Convert to fraction form
    59,594/88,361 = 88,361/x
  3. Step 3: Cross multiply
    59,594x = 88,361 × 88,361
  4. Step 4: Simplify right side
    59,594x = 7,807,666,321
  5. Step 5: Solve for x
    x = 7,807,666,321/59,594
  6. Step 6: Final answer
    x = 131,014.30

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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.