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Finding the Third Proportional to 61,613 and 89,547

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Solution

The third proportional to 61,613 and 89,547 is: 130,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,613 : 89,547 = 89,547 : x
  2. Step 2: Convert to fraction form
    61,613/89,547 = 89,547/x
  3. Step 3: Cross multiply
    61,613x = 89,547 × 89,547
  4. Step 4: Simplify right side
    61,613x = 8,018,665,209
  5. Step 5: Solve for x
    x = 8,018,665,209/61,613
  6. Step 6: Final answer
    x = 130,145.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.