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Finding the Third Proportional to 58,644 and 121,304.25

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Solution

The third proportional to 58,644 and 121,304.25 is: 250,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,644 : 121,304.25 = 121,304.25 : x
  2. Step 2: Convert to fraction form
    58,644/121,304.25 = 121,304.25/x
  3. Step 3: Cross multiply
    58,644x = 121,304.25 × 121,304.25
  4. Step 4: Simplify right side
    58,644x = 14,714,721,068.06
  5. Step 5: Solve for x
    x = 14,714,721,068.06/58,644
  6. Step 6: Final answer
    x = 250,916.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.