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Finding the Third Proportional to 98,160 and 151,087.50

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Solution

The third proportional to 98,160 and 151,087.50 is: 232,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,160 : 151,087.50 = 151,087.50 : x
  2. Step 2: Convert to fraction form
    98,160/151,087.50 = 151,087.50/x
  3. Step 3: Cross multiply
    98,160x = 151,087.50 × 151,087.50
  4. Step 4: Simplify right side
    98,160x = 22,827,432,656.25
  5. Step 5: Solve for x
    x = 22,827,432,656.25/98,160
  6. Step 6: Final answer
    x = 232,553.31

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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.