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Finding the Third Proportional to 59,392 and 130,688

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Solution

The third proportional to 59,392 and 130,688 is: 287,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,392 : 130,688 = 130,688 : x
  2. Step 2: Convert to fraction form
    59,392/130,688 = 130,688/x
  3. Step 3: Cross multiply
    59,392x = 130,688 × 130,688
  4. Step 4: Simplify right side
    59,392x = 17,079,353,344
  5. Step 5: Solve for x
    x = 17,079,353,344/59,392
  6. Step 6: Final answer
    x = 287,569.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.