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Finding the Third Proportional to 74,430 and 152,139

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Solution

The third proportional to 74,430 and 152,139 is: 310,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,430 : 152,139 = 152,139 : x
  2. Step 2: Convert to fraction form
    74,430/152,139 = 152,139/x
  3. Step 3: Cross multiply
    74,430x = 152,139 × 152,139
  4. Step 4: Simplify right side
    74,430x = 23,146,275,321
  5. Step 5: Solve for x
    x = 23,146,275,321/74,430
  6. Step 6: Final answer
    x = 310,980.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.