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Finding the Third Proportional to 55,160 and 119,066

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Solution

The third proportional to 55,160 and 119,066 is: 257,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,160 : 119,066 = 119,066 : x
  2. Step 2: Convert to fraction form
    55,160/119,066 = 119,066/x
  3. Step 3: Cross multiply
    55,160x = 119,066 × 119,066
  4. Step 4: Simplify right side
    55,160x = 14,176,712,356
  5. Step 5: Solve for x
    x = 14,176,712,356/55,160
  6. Step 6: Final answer
    x = 257,010.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.