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Finding the Third Proportional to 56,019 and 88,746

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Solution

The third proportional to 56,019 and 88,746 is: 140,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,019 : 88,746 = 88,746 : x
  2. Step 2: Convert to fraction form
    56,019/88,746 = 88,746/x
  3. Step 3: Cross multiply
    56,019x = 88,746 × 88,746
  4. Step 4: Simplify right side
    56,019x = 7,875,852,516
  5. Step 5: Solve for x
    x = 7,875,852,516/56,019
  6. Step 6: Final answer
    x = 140,592.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.