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Finding the Third Proportional to 64,952 and 97,428

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Solution

The third proportional to 64,952 and 97,428 is: 146,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952 : 97,428 = 97,428 : x
  2. Step 2: Convert to fraction form
    64,952/97,428 = 97,428/x
  3. Step 3: Cross multiply
    64,952x = 97,428 × 97,428
  4. Step 4: Simplify right side
    64,952x = 9,492,215,184
  5. Step 5: Solve for x
    x = 9,492,215,184/64,952
  6. Step 6: Final answer
    x = 146,142

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.