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Finding the Third Proportional to 98,072 and 152,130

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Solution

The third proportional to 98,072 and 152,130 is: 235,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072 : 152,130 = 152,130 : x
  2. Step 2: Convert to fraction form
    98,072/152,130 = 152,130/x
  3. Step 3: Cross multiply
    98,072x = 152,130 × 152,130
  4. Step 4: Simplify right side
    98,072x = 23,143,536,900
  5. Step 5: Solve for x
    x = 23,143,536,900/98,072
  6. Step 6: Final answer
    x = 235,985.16

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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.