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Finding the Third Proportional to 65,528 and 98,835

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Solution

The third proportional to 65,528 and 98,835 is: 149,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,528 : 98,835 = 98,835 : x
  2. Step 2: Convert to fraction form
    65,528/98,835 = 98,835/x
  3. Step 3: Cross multiply
    65,528x = 98,835 × 98,835
  4. Step 4: Simplify right side
    65,528x = 9,768,357,225
  5. Step 5: Solve for x
    x = 9,768,357,225/65,528
  6. Step 6: Final answer
    x = 149,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.