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Finding the Third Proportional to 64,306 and 98,312

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Solution

The third proportional to 64,306 and 98,312 is: 150,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 98,312 = 98,312 : x
  2. Step 2: Convert to fraction form
    64,306/98,312 = 98,312/x
  3. Step 3: Cross multiply
    64,306x = 98,312 × 98,312
  4. Step 4: Simplify right side
    64,306x = 9,665,249,344
  5. Step 5: Solve for x
    x = 9,665,249,344/64,306
  6. Step 6: Final answer
    x = 150,300.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.