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Finding the Third Proportional to 53,998 and 118,490

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Solution

The third proportional to 53,998 and 118,490 is: 260,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,998 : 118,490 = 118,490 : x
  2. Step 2: Convert to fraction form
    53,998/118,490 = 118,490/x
  3. Step 3: Cross multiply
    53,998x = 118,490 × 118,490
  4. Step 4: Simplify right side
    53,998x = 14,039,880,100
  5. Step 5: Solve for x
    x = 14,039,880,100/53,998
  6. Step 6: Final answer
    x = 260,007.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.