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Finding the Third Proportional to 74,970 and 116,038

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Solution

The third proportional to 74,970 and 116,038 is: 179,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,970 : 116,038 = 116,038 : x
  2. Step 2: Convert to fraction form
    74,970/116,038 = 116,038/x
  3. Step 3: Cross multiply
    74,970x = 116,038 × 116,038
  4. Step 4: Simplify right side
    74,970x = 13,464,817,444
  5. Step 5: Solve for x
    x = 13,464,817,444/74,970
  6. Step 6: Final answer
    x = 179,602.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.