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Finding the Third Proportional to 59,111 and 90,854

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Solution

The third proportional to 59,111 and 90,854 is: 139,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,111 : 90,854 = 90,854 : x
  2. Step 2: Convert to fraction form
    59,111/90,854 = 90,854/x
  3. Step 3: Cross multiply
    59,111x = 90,854 × 90,854
  4. Step 4: Simplify right side
    59,111x = 8,254,449,316
  5. Step 5: Solve for x
    x = 8,254,449,316/59,111
  6. Step 6: Final answer
    x = 139,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.