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Finding the Third Proportional to 98,964 and 152,118

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Solution

The third proportional to 98,964 and 152,118 is: 233,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 152,118 = 152,118 : x
  2. Step 2: Convert to fraction form
    98,964/152,118 = 152,118/x
  3. Step 3: Cross multiply
    98,964x = 152,118 × 152,118
  4. Step 4: Simplify right side
    98,964x = 23,139,885,924
  5. Step 5: Solve for x
    x = 23,139,885,924/98,964
  6. Step 6: Final answer
    x = 233,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.