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Finding the Third Proportional to 97,216 and 130,650

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Solution

The third proportional to 97,216 and 130,650 is: 175,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,216 : 130,650 = 130,650 : x
  2. Step 2: Convert to fraction form
    97,216/130,650 = 130,650/x
  3. Step 3: Cross multiply
    97,216x = 130,650 × 130,650
  4. Step 4: Simplify right side
    97,216x = 17,069,422,500
  5. Step 5: Solve for x
    x = 17,069,422,500/97,216
  6. Step 6: Final answer
    x = 175,582.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.