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Finding the Third Proportional to 65,308 and 97,709

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Solution

The third proportional to 65,308 and 97,709 is: 146,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308 : 97,709 = 97,709 : x
  2. Step 2: Convert to fraction form
    65,308/97,709 = 97,709/x
  3. Step 3: Cross multiply
    65,308x = 97,709 × 97,709
  4. Step 4: Simplify right side
    65,308x = 9,547,048,681
  5. Step 5: Solve for x
    x = 9,547,048,681/65,308
  6. Step 6: Final answer
    x = 146,184.98

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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.