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Finding the Third Proportional to 78,572 and 169,594

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Solution

The third proportional to 78,572 and 169,594 is: 366,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572 : 169,594 = 169,594 : x
  2. Step 2: Convert to fraction form
    78,572/169,594 = 169,594/x
  3. Step 3: Cross multiply
    78,572x = 169,594 × 169,594
  4. Step 4: Simplify right side
    78,572x = 28,762,124,836
  5. Step 5: Solve for x
    x = 28,762,124,836/78,572
  6. Step 6: Final answer
    x = 366,060.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.